Control Systems - Study Mode

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[#101] The system matrix of a continuous time system is given by [A = left[ {x08egin{array}{*{20}{c}}
0&1\
{ - 3}&{ - 5}
end{array}}
ight].] xa0xa0 Then the characteristic equation is

(A) s 2 + 5s + 3 = 0

(B) s 2 - 3s - 5 = 0

(C) s 2 + 3s + 5 = 0

(D) s 2 + s + 2 = 0

Correct Answer

(A) s 2 + 5s + 3 = 0

[#102] If both fast response time and good steady state accuracy are needed . . . . . . . . compensators are used.

(A) Fast

(B) Lead

(C) Lag

(D) Lag-lead

Correct Answer

(D) Lag-lead

[#103] The open-loop transfer function of a unity feedback control system is $$Gleft( s
ight) = frac{1}{{{{left( {s + 2}
ight)}^2}}}$$ The closed loop transfer function poles are located at:

(A) -2, -2

(B) -2, -1

(C) -2, +2

(D) -2 ± j1

Correct Answer

(D) -2 ± j1

[#104] Match List-I with List-II and select the correct answer. List-I (Functional components) List-II (Devices) a. Error detector 1. Three-phase FHP induction motor b. Servomotor 2. A pair of synchronous transmitter and control transformer c. Amplifier 3. Tachogenerator d. Feedback 4. Armature controlled FHP d.c. motor 5. Amplidyne

(A) a-2, b-4, c-1, d-5

(B) a-4, b-2, c-5, d-3

(C) a-2, b-4, c-5, d-3

(D) a-1, b-2, c-3, d-5

Correct Answer

(C) a-2, b-4, c-5, d-3

[#105] For continuous-time system, state variable representation is $$frac{{ ext{d}}}{{{ ext{dt}}}}$$ q(t) = Aq(t) + bx(t) What is the corresponding representation for discrete-time system?

(A) $$frac{{ ext{d}}}{{{ ext{dt}}}}$$ q[n] = Aq[n] + bx[n]

(B) q[n + 1] = Aq[n] + bx[n]

(C) q[n] = Aq[n - 1] + bx[n]

(D) $$frac{{ ext{d}}}{{{ ext{dn}}}}$$ [q(n + 1)] = Aq[n - 1] + bx[n - 1]

Correct Answer

(B) q[n + 1] = Aq[n] + bx[n]